Vela

frontiers / frontier

Erdős problems frontier

constellation seal · derived from vfr_37aec80d874a0239
id
vfr_37aec80d874a0239
license
CC-BY-4.0
findings
1,256
accepted core
6
contested
0
links
17
sources
1,234
evidence
1,256
avg conf
0.98

used by 0 · replayed by 2 producers

e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_470e17c283daec97"}

id
vea_334c7f09ced4acb9
frontier
Erdős problems frontier
source
vs_584f7a1042a7d20e
finding
vf_c28dd93882016f42

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #247 remains OPEN. Statement: Let $n_1 < n_2 < \cdots$ be a sequence of integers such that $$ \limsup \frac{n_k}{k} = \infty. $$ Is $$ \sum_{k=1}^{\infty} \frac{1}{2^{n_k}} $$ transcendental? Topics: number theory, irrationality. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_470e17c283daec97

vs_584f7a1042a7d20e

review context

unverified

1 events

1 reviewable changes and 0 evaluation records target this atom or its bound objects.

statement

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_470e17c283daec97"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_7e7beca6e48b83f8

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_773d980fb853efcdfinding.asserted

    Candidate claim vc_470e17c283daec97 imported from artifact packet cap_61973ee16b553d57

    reviewer:erdos-db-trustreviewer:erdos-db-trust · 2026-05-30

reviewable changes

  • vpr_914c32078d613b24finding.add

    Candidate claim vc_470e17c283daec97 imported from artifact packet cap_61973ee16b553d57

    agent — machine actor, no signing keyapplied · agent:erdos-spine-ingest · 2026-05-30

evaluations

No evaluation rows are attached.

statement.registered · agent:claude-proxy · 4 days

renders the record as of vev_e73c9b6c · 1,355 events · hub

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